Answer:
Step-by-step explanation:
Given that cubes with side lengths of [tex]\frac{1}{3}[/tex] cm
Given, Volume of prism = 3 cubic units
The formula for the volume of the cube is
[tex]V=a^3[/tex] ( ∵ side length=a)
[tex]V =\frac{1}{3}\times \frac{1}{3}\times \fra{1}{3}[/tex]
[tex]V=\frac{1}{27}[/tex] cubic units
To find the number of cubes needed to fill the prism, That is to divide the volume of cube by volume of the prism.
[tex]\frac{Volume of prism}{Volume of cube}[/tex]
[tex]=\frac{3}{0.0370}[/tex]
=81.081
= 81
